10102012011120 has 40 divisors (see below), whose sum is σ = 31316237235216. Its totient is φ = 2693869869568.

The previous prime is 10102012011083. The next prime is 10102012011139. The reversal of 10102012011120 is 2111021020101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102012011096 and 10102012011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21045858117 + ... + 21045858596.

Almost surely, 2^{10102012011120} is an apocalyptic number.

10102012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102012011120 is an abundant number, since it is smaller than the sum of its proper divisors (21214225224096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10102012011120 is a wasteful number, since it uses less digits than its factorization.

10102012011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42091716729 (or 42091716723 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102012011120 its reverse (2111021020101), we get a palindrome (12213033031221).

The spelling of 10102012011120 in words is "ten trillion, one hundred two billion, twelve million, eleven thousand, one hundred twenty".